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Math Help - picking numbers

  1. #1
    Member Veronica1999's Avatar
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    picking numbers

    Bernardo randomly picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} and arranges them in descending order to form a 3-digit number. Silvia randomly
    picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6, 7, 8} and also arranges
    them in descending order to form a 3-digit number. What is the probability that
    Bernardo’s number is larger than Silvia’s number?

    The answer is 37/56.

    The problem seems simple but i keep on getting the wrong answer.....
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  2. #2
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    Re: picking numbers

    Quote Originally Posted by Veronica1999 View Post
    Bernardo randomly picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} and arranges them in descending order to form a 3-digit number. Silvia randomly
    picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6, 7, 8} and also arranges them in descending order to form a 3-digit number. What is the probability that Bernardo’s number is larger than Silvia’s number?
    The answer is 37/56.
    I get \frac{83}{168}.
    Is that what you get?
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